Answer:
counted down
Step-by-step explanation:
it was counting up and went down by couting down in 2
The coach can select the captain in 20 ways (i.e. from all the available 20 players), and he can select the co-captain in 19 ways (i.e. after selecting the captain, there will be 19 people left).
Therefore, the coach can select the captain and the co-captain in 20 x 19 = 380 ways.
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
meters.
Step-by-step explanation:
To find diver's final location relative to the surface of water we will subtract 
from 
because diver dives away another from his previous location of .
Now we will convert our mixed fraction into improper fraction and then we will find a common denominator.
Now let us convert our answer in mixed fraction.
![=\frac{-243}{4}=[tex]-60\frac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-243%7D%7B4%7D%3D%5Btex%5D-60%5Cfrac%7B3%7D%7B4%7D)
[/tex]
Therefore, diver's final location relative to the surface of the water is meters.
Answer:
C. 14 metres cubed
Step-by-step explanation:
The volume of a sphere is denoted by: 
, where r is the radius, while the volume of a cylinder is denoted by: 
, where r is the radius and h is the height.
Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:
πr³ = 21/2 = 10.5
Now plug this into the volume of a sphere formula:
The answer is C, 14 metres cubed.
